W. I. FUSHCHYCH & A. G. NIKITIN
Symmetries of Maxwell's Equations
D. Reidel Publishing Company, Hardbound, ISBN 90-277-2320-6, 1987, 222
pp
Abstract
This monograph is devoted to description of local and nonlocal symmetry
properties of the Maxwell, Dirac, Kemmer-Duffin-Petiau equations
Table of Contents
Chapter 1. Various formulations of Maxwell's equations
Chapter 2. Relativistic invariance of Maxwell's equations
Chapter 3. Representations of the Poincaré algebra
Chapter 4. Conformal invariance of Maxwell's equations
Chapter 5. Nongeometric symmetry of Maxwell's equations
Chapter 6. Symmetry of the Dirac and Kemmer-Duffin-Petiau equations
Chapter 7. Constants of motion
Chapter 8. Symmetry of subsystems of Maxwell's equation
Chapter 9. Equations for the electromagnetic field invariant
under the Galilei group
Chapter 10. Relativistic equations for vector and spinor
massless field
Chapter 11. Poincare-invariant equations for a massless field
with arbitrary spin
Conclusion
Appendix 1
On complete sets of symmetry operators for the Dirac and Maxwell equations
and invariance algebras of relativistic wave equations for particles of
arbitrary spin
Appendix 2.
Symmetry of nonlinear equations of electrodynamics
Appendix 3.
On Ansatze and exact solutions of the nonlinear Dirac and Maxwell-Dirac
equations
Appendix 4.
How to extend symmetry of equations?
Kluwer
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